Hi Cindy, if your dog wants to play with other dogs don't stop going to the park. That lady should meet my two dogs, a year ago we tried the dog park, we took them inside the small enclosed part of it and they acted like a pack of two one on each side of the poor dog, Daisy with her neck stuck out staring and Perry ready to spring.
We know now that we can't take them, but I would love it if they were friendly dogs like yours who want to play. That is what the park is for. She should have let them work it out since yours was barking but not aggresive. I know this is not any help to you, just rambling on. Daisy and Perry still bark quite a bit at the kids going to school through the window and I'm still trying what Rachel said telling them "No Bark" and it does help, Perry has stopped and Daisy is getting the idea, and turns around to look at us and then will usually stop. Good luck.
Jackie